1
0
0
0
0
Real algebra a first course / [electronic resource] :
- 作者： Knebusch, Manfred.
- 其他作者：
- 其他題名：
- Einfuhrung in die reelle Algebra.
- Universitext.
- 出版： Cham : Springer International Publishing :Imprint: Springer
- 叢書名： Universitext,
- 主題： Algebra. , Order, Lattices, Ordered Algebraic Structures. , Field Theory and Polynomials. , Commutative Rings and Algebras. , Algebraic Geometry.
- ISBN： 9783031098000 (electronic bk.) 、 9783031097997 (paper)
-
FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: 1 Ordered fields and their real closures -- 2 Convex valuation rings and real places -- 3 The real spectrum -- 4 Recent developments.
- 摘要註: This book provides an introduction to fundamental methods and techniques of algebra over ordered fields. It is a revised and updated translation of the classic textbook Einfu?hrung in die reelle Algebra. Beginning with the basics of ordered fields and their real closures, the book proceeds to discuss methods for counting the number of real roots of polynomials. Followed by a thorough introduction to Krull valuations, this culminates in Artin's solution of Hilbert's 17th Problem. Next, the fundamental concept of the real spectrum of a commutative ring is introduced with applications. The final chapter gives a brief overview of important developments in real algebra and geometry-as far as they are directly related to the contents of the earlier chapters-since the publication of the original German edition. Real Algebra is aimed at advanced undergraduate and beginning graduate students who have a good grounding in linear algebra, field theory and ring theory. It also provides a carefully written reference for specialists in real algebra, real algebraic geometry and related fields.
-
讀者標籤：
- 系統號： 005518774 | 機讀編目格式
館藏資訊
